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Finding the Fourth Proportional to 16,406.36, 24,608.31 and 6,547.85

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Solution

The fourth proportional to 16,406.36, 24,608.31 and 6,547.85 is: 9,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.36 : 24,608.31 = 6,547.85 : x
  2. Step 2: Convert to fraction form
    16,406.36/24,608.31 = 6,547.85/x
  3. Step 3: Cross multiply
    16,406.36x = 24,608.31 × 6,547.85
  4. Step 4: Simplify right side
    16,406.36x = 161,131,522.63
  5. Step 5: Solve for x
    x = 161,131,522.63/16,406.36
  6. Step 6: Final answer
    x = 9,821.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.